Find T, (1). Assume that T, (+) is the 2nd degree Taylor polynomial for the function f ca) =2 +ze centered at a= 0.

3. Let T,(x)= f(a)+ f '(a)(x-a)+ f"(a) (x-a)² + 2 f'(a) (x-a) be the Taylor polynomial of degree three for the 6 function f(x), centered at the point x=a. a) Find T, '(x), T, "(x), and T,"'(x). b) Evaluate T '(x), T, "(x), and T,"'(x) at x=a to verify that: T;(a) = f(a), T, "(a) = f'(a), T",(a) =f"(a), and T,"'(a) = f"(a). %3D